In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.

中文翻译：

---

Proca管中的线性能量密度和电场通量

在这项工作中，我们研究耦合到希格斯标量场的SU（3）非阿贝尔Proca理论内的圆柱对称解。该解决方案描述了包含彩色电场通量或能量通量和动量的管。结果表明，这种管的存在主要取决于希格斯场的存在（没有该场就没有这种解决方案）。我们检查了积分特性（线性能量和动量密度）与管中心电磁势的值以及希格斯标量场的耦合常数的相关性。所获得的解在拓扑上是微不足道的，并显示出双重Meissner效应：电场被希格斯标量场推出。